GCF and LCM Calculator Logo

What is the Least Common Multiple of 10765 and 10769?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 10765 and 10769 is 115928285.

LCM(10765,10769) = 115928285

LCM Calculator and
and

Least Common Multiple of 10765 and 10769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10765 and 10769, than apply into the LCM equation.

GCF(10765,10769) = 1
LCM(10765,10769) = ( 10765 × 10769) / 1
LCM(10765,10769) = 115928285 / 1
LCM(10765,10769) = 115928285

Least Common Multiple (LCM) of 10765 and 10769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10765 and 10769. First we will calculate the prime factors of 10765 and 10769.

Prime Factorization of 10765

Prime factors of 10765 are 5, 2153. Prime factorization of 10765 in exponential form is:

10765 = 51 × 21531

Prime Factorization of 10769

Prime factors of 10769 are 11, 89. Prime factorization of 10769 in exponential form is:

10769 = 112 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 10765 and 10769.

LCM(10765,10769) = 51 × 21531 × 112 × 891
LCM(10765,10769) = 115928285